The Magnetic Reynolds Number is a dimensionless number used in magnetohydrodynamics to describe the relative balance of magnetic advection to magnetic diffusion.
where: σ is the electrical conductivity of the fluid, μ0 is the magnetic permeability of free space,
L is the characteristic length scale of the fluid flow,
U0 is the characteristic velocity of the fluid flow.
^ Gubbins, D. (2007), Geodynamo, dimensional analysis and timescales, in Encyclopedia of Geomagnetism and Paleomagnetism, edited by D. Gubbins and E. Herrero-Bervera, pp. 297–300, Springer, Dordrecht.
Magnetic Reynolds Number
Table of Contents
where:
σ is the electrical conductivity of the fluid,
μ0 is the magnetic permeability of free space,
L is the characteristic length scale of the fluid flow,
U0 is the characteristic velocity of the fluid flow.
A typical value for the Earth is Rm ~ 200[1] .
References
See Also
List of Dimensionless Numbers